Answer:
B.
Step-by-step explanation:
We are given that,
The frequency of the function is
The maximum and minimum value is 12 and -6.
Also, the y-intercept is 3.
From the options, we have,
Options C and D have minimum value 6. So, they does not represent the given function.
We know, 'If a function has a period P, then the function will have the period
.
Also, 'The frequency is the reciprocal of the period'.
So, function will have the frequency
.
From the options, we see,
Option B have the frequency, i.e.
.
Option A have the frequency, i.e. 3
Thus, option A is not correct.
Hence, option B is the required sinusoidal function.